Understanding e - #some2

Understanding e A submission for 3Blue1Brown’s Summer of Math Exposition #2 (#some2) this video details an exploration of Euler’s Number, including its Taylor Series, its limits, and a cool Monte Carlo model for estimating e (developed independently). This video was created using Manim and ZAME’s Sinnoh Pokémon League | Piano Arrangement (credited below) and was made possible with the help of my family and my teachers (especially my Calculus BC and Multivariable Calculus teacher, among many others). Thank you all! -------------------------------------------------------------------------------- Additional Resources: General Calculus (3Blue1Brown’s “Essence of Calculus“) - General Calculus and Practice - Quick Calculus: A Self-Teaching Guide (Daniel Kleppner, Norman Ramsey) Derivatives (3Blue1Brown) - Integrals and Fundamental Theory of Calculus (3Blue1Brown) - Taylor Series (3Blue1Brown) - -------------------------------------------------------------------------------- Credits: Manim - The Manim Community Developers. (2022). Manim – Mathematical Animation Framework (Version ) [Computer software]. 3Blue1Brown - Background Track - ZAME () - Sinnoh Pokémon League | Piano Arrangement (